Scale Factor
What is the scale factor in image 1?
3/4 or 0.75
Is it possible for the two figures in image 8 to be similar? Explain why or why not.
No, not all corresponding sides are proportional.
Angle ABC is taken by a dilation with center P and a scale factor 3 to angle A'B'C'. The measure of angle ABC is 21 degrees. What is the measure of angle A'B'C'?
21 degrees
Using image 7, write the sequence of transformations which take the original figure onto its image.
Dilate triangle ABC using center C and scale factor of 2/3 or 0.6 repeating
Using image 5, name ALL lines that could be the image of line n by a dilation.
lines n, m, and p
Using image 4, what is the scale factor of this dilation?
5/3 or 1.6 repeating
Angle ABC is taken by a dilation with center P and scale factor 1/3 to angle A'B'C'. The measure of angle ABC is 21 degrees. EXPLAIN WHY the measure of angle A'B'C' is 21 degrees.
In dilations, corresponding angles are congruent.
Using image 3, find the value of x.
2.25
Using image 10, find a sequence of rigid motions and dilations that takes square EFGH to square ABCD.
Translate EFGH using ________.
Rotate around point ___ until __________.
Dilate using center ___ and scale factor ___.
Using image 14, select ALL the true statements:
A. angle ACB is (180-x) degrees
B. angle ACB is x degrees
C. triangle ACB is similar to triangle ADE
D. AD=1/3 AC
E. AD=1/2 DC
B, C, D, E
What is the scale factor of the dilation in image 6?
1/2 or 0.5
Using figure 15, write a true congruence statement for the two similar triangles.
Triangle ABC ~ triangle DFE
Triangle BCA ~ triangle FED
Triangle ACB ~ triangle DEF
Triangle BAC ~ triangle FDE
Using image 9, find the value of a.
a = 1.875
Using image 13, write a sequence of transformations that would show that triangles ABC and AED are similar.
Dilate using center A and scale factor of 2 or 1/2.
Reflect over line AC.
Using image 19, select all the figures that are similar to Parallelogram P.
A and B
Using image 11, give BOTH scale factors, in decimal form, that can be used to dilate one figure to the other.
1.25 or 0.8
In image 21, figure G' is the image of figure G. State the center of dilation and tell me what you know about the scale factor.
Center is C and scale factor is less than one.
Using image 16, find the length of EF.
22.2
Using figure 15, write a sequence of rigid transformations and dilation to take one triangle onto the other.
Translate using __ to __.
Rotate around point ___ until ___ and ___ meet.
Reflect over line ____.
Dilate using center ___ and scale factor 3 or 1/3.
In triangle ABC, angle A = 35 and angle B = 20. Select ALL triangles which are similar.
A. triangle DEF where D=35 and E=20
B. triangle GHI where G=35 and I=30
C. triangle JKL where J=35 and L=125
D. triangle MNO where N=20 and O=125
E. triangle PQR where Q=20 and R=30
A, C, D
A polygon has perimeter 12. It is dilated with a scale factor of k and the resulting image has a perimeter of 8. Which of the following is the scale factor?
A. 1/2 B. 2/3 C. 3/4 D. 4/3
B. 2/3
If 2 figures have the same corresponding angles and proportional side lengths, then they are similar.
OR
If there is a sequence of rigid transformations and dilations that take one figure to the other, then they are similar.
Using image 17, what is the length of BD?
BD = 4.5
Using image 20, find a set of transformations that takes triangle KLM onto triangle NQP.
Translate using __ to __.
Rotate around center __ until __ and __ meet.
Dilate using center __ and scale factor 4/3.
In image 18, select all triangles which must be similar to triangle ABC.
A. BCD B. CAD C. CBD
D. ABC E. ACD F. BDC
D, E, C